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3 years ago

Please answer the question below and show working out pls

Mathematics

1 answer:

zaharov [31]3 years ago

3 0

9514 1404 393

Answer:

$28.14

Step-by-step explanation:

The area of a container will be the sum of the base area and the lateral area. The relevant formulas are ...

A = πr^2 . . . . . . . . area of the circular base with radius r

A = 2πrh . . . . . . . area of the side of the container

The sum of the two areas is ...

Atot = πr^2 +2πrh = πr(r +2h) = π(7/2 cm)(7/2 cm +2·21 cm) = (π/4)(7)(91) cm^2

Atot = 159.25π cm^2 = 0.015925π m^2 . . . . metal area per container

Then 125 containers will have an area of ...

Aall = (125)(0.015925π m^2) = 1.990625π m^2 ≈ 6.25373 m^2

The price of this amount of sheet metal will be ...

(6.25373 m^2)($4.50 /m^2) = $28.14 . . . cost of 125 containers

Additional comment

1 cm = 0.01 m, so (1 cm)^2 = (0.01 m)^2 = 0.0001 m^2

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2.67% decrease

Step-by-step explanation:

percent decrease or increase formula = difference/ original * 100

2000/75000 * 100 = 2.67 decrease

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3 years ago

Insert parentheses to make each statement true 10÷2-3+1=3

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(10/2)-3+1=3 -->then 5-3=2+1=3

so the answer is (10/2)-3+1=3

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3 years ago

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Nancy and Harry are sliding a stone statue and moving it to a new location in their garden. Nancy is pushing the statue with a f

Nimfa-mama [501]

Answer:

197,8879 N.

Step-by-step explanation:

The magnitude of the horizontal force exerted on the statue can be calculated using trigonometric functions.

The question given says that Nancy is pushing the statue with a force of 120 N at a 60° angle to the horizontal and Harry is pulling the statue with a force of 180 N at a 40° angle with the horizontal.

With that information can be calculated the horizontal force exerted on the statue by Nancy, the horizontal force exerted on the statue by Harry and, adding that results, the total horizontal magnitude can be calculated.

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3 years ago

A 2% decrease is written as A 30% increase is written as

alexandr1967 [171]

Answer:

100% - 2% = 98%

Or 100% x 0.98 = 98%

100% - 30% = 70%

100% x 0.7 = 70%

Answer : 0.98 & 0.7

Thus, any number/price multiplied by these decimal multipilers - automatically, will give you the decreased values of the original values.)

For example, a £300 bag is on a sale for 2% off, how much does it cost?

£300 x 0.98 = £294 (final price of the bag)

Hope this helps!

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3 years ago

Which of the following is not a solution for the inequality 3x +2 < 12?

DIA [1.3K]

Answer:

x = 3.5 is not a solution

Step-by-step explanation:

3x +2 < 12

Subtract 2 from each side

3x +2-2 < 12-2

3x< 10

Divide each side by 3

3x/3 <10/3

x < 10/3

x <3.3333333

Any number greater than 3.3333 is not a solutions

3.5 is not a solution

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3 years ago

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